11I11J Scalar (Dot) Product 2016.notebook April 07, 2016 Vectors (Revisited) Given the points P(2,7,1) and R(1,4,5): Vector Eqn Parametric Eqns Cartesian Eqns a.) Find . b.) Find the vectors with magnitude 10 collinear to . c.) Find the equation of a line (in all 3 forms) containing the points P(2,7,1) and R(1,4,5). Dot Product/Scalar Product • u and v are nonzero vectors • is the angle between u and v. Important: The dot product returns a scalar value, NOT a vector. Dot Product (Alternate Forms) Properties of the Dot Product Example #2 Example #3